Answer:
C: 
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
(2h – 3)(3h + 4) is the same thing as
2h(3h + 4) - 3(3h + 4)
6h^2 + 8h - 9h - 12
6h^2 - h - 12
Answer B.
Answer and explanation;
= 1/15 is the answer get when 36 is divided by 540 .
We can use the partial quotients to divide 540 by 36 then we get the reciprocal of the answer;
540 ÷ 36
We can take 360 ÷ 36 = 10
Then the remainder is ; 540 -360 = 180
But ; 180 ÷36 = 5
Then we get the sum of the quotients which is 10 +5 = 15
Thus; 540 ÷ 36 = 15
However; the question was 36 ÷ 540 , so we get the reciprocal of 15;
= 36 ÷ 540 = 1/15
Answer:
1 on 3
Step-by-step explanation:
The red dice has 6 faces. The number you have to obtain is less than 3. So your answers must be 1 and 2. The numbers 1 and 2 are two solutions out of six. Now the same goes with the white dice. Two solutions out of six. You combine them and obtain 4 on 12. Then, you reduce the answer in minimal terms and finally obtain 1 on 3.
A basic algebraic linear equation is just a fancy way of saying "equation of a line". They are most likely referring to the formula y=mx+b, where m is the slope and b in the y intercept. :)